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Finding the Fourth Proportional to 7,809.60, 10,777.32 and 5,020

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Solution

The fourth proportional to 7,809.60, 10,777.32 and 5,020 is: 6,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.60 : 10,777.32 = 5,020 : x
  2. Step 2: Convert to fraction form
    7,809.60/10,777.32 = 5,020/x
  3. Step 3: Cross multiply
    7,809.60x = 10,777.32 × 5,020
  4. Step 4: Simplify right side
    7,809.60x = 54,102,146.40
  5. Step 5: Solve for x
    x = 54,102,146.40/7,809.60
  6. Step 6: Final answer
    x = 6,927.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.